825876480 has 448 divisors, whose sum is σ = 3170700288. Its totient is φ = 180879360.

The previous prime is 825876461. The next prime is 825876503. The reversal of 825876480 is 84678528.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17571817 + ... + 17571863.

It is an arithmetic number, because the mean of its divisors is an integer number (7077456).

Almost surely, 2^825876480 is an apocalyptic number.

825876480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585350144).

825876480 is an abundant number, since it is smaller than the sum of its proper divisors (2344823808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

825876480 is a wasteful number, since it uses less digits than its factorization.

825876480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The square root of 825876480 is about 28738.0667408231. The cubic root of 825876480 is about 938.2207477932.

The spelling of 825876480 in words is "eight hundred twenty-five million, eight hundred seventy-six thousand, four hundred eighty".